The 33-year-old midfielder, who is currently nursing a hamstring injury, has 18 months remaining on his current Reds contract which he penned earlier this year.
For the time being I can see myself seeing it out here
“If something happens where I fall out of contention or someone else comes along and takes my place and I stop enjoying it, if I still feel I could offer someone else something, of course I’d consider it, but for the time being I can see myself seeing it out here,” Gerrard told Sky Sports News.
Gerrard also played down talk of Liverpool challenging for the Premier League title this season.
“I think we’re title contenders if we’re in the title race with 10 games to go – I don’t get carried away or change targets or raise expectations around the city just because we’ve started the season very strong,” Gerrard added.
“To be in the title race you’ve got to be there with 10 games to go with a realistic challenge of winning it. I do have confidence and belief in my team-mates that we’re capable of surprising a few people this season.”